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Abstract

We demonstrate the realization of plasmonic analog of electromagnetically induced transparency (EIT) in a system composing of two stub resonators side-coupled to metal-dielectric-metal (MDM) waveguide. Based on the coupled mode theory (CMT) and Fabry-Perot (FP) model, respectively, the formation and evolution mechanisms of plasmon-induced transparency by direct and indirect couplings are exactly analyzed. For the direct coupling between the two stub resonators, the FWHM and group index of transparent window to the inter-space are more sensitive than to the width of one cut, and the high group index of up to 60 can be achieved. For the indirect coupling, the formation of transparency window is determined by the resonance detuning, but the evolution of transparency is mainly attributed to the change of coupling distance. The consistence between the analytical solution and finite-difference time-domain (FDTD) simulations verifies the feasibility of the plasmon-induced transparency system. It is also interesting to notice that the scheme is easy to be fabricated and may pave the way to highly integrated optical circuits.

(a) Schematic of MDM waveguide coupled to two stub resonators: w, the width of the waveguide; w1 and w2, the widths of the stub resonators; L1 and L2, the stub depths; d, the inter-space between the two stub resonators. (b) Illustration of direct coupling between two resonators denoted by R1 and R2. k12 and k21 are coupling coefficients.

(a) Transmission spectra of the structure shown in Fig. 2(a) for different w2, and the other parameters are set as follows: w = w1 = 100 nm, d = 50 nm, and L1 = L2 = 500 nm. (b) The FWHM and group index of the transparent window versus w2. (c) Resonant frequencies (ω+ and ω-) of the system calculated using the CMT (solid curves) and FDTD method (dots).